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Communications in Theoretical Physics

New Applications of q -Deformed Inverse Field operators

Hong-Yi Fan

Published Jun 15, 1995• 1 citation
Publisher

Abstract

We construct q -deformed displaced number state, q -deformed two-mode squeezed state and q -deformed two-mode single-complex-variable state by making use of the q -deformed inverse field operators. Their completeness relations are investigated by virtue of the technique of integration within an ordered product of operators. Some new operator identities in q -deformed Fock space are also derived.

DOI
10.1088/0253-6102/23/4/509

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We construct q -deformed displaced number state, q -deformed two-mode squeezed state and q -deformed two-mode single-complex-variable state by making use of the q -deformed inverse field operators. Their completeness relations are investigated by virtue of the technique of integration within an ordered product of operators. Some new operator identities in q -deformed Fock space are also derived.
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The q-analogues of two-mode squeezed states are introduced by virtue of deformation quantization methods and the technique of integration within an ordered product (IWOP) of operators. Some new completeness relations about these squeezed states composed of the bra and ket which are not mutually Hermitian conjugates are obtained. Furthermore, the antibunching effects of the two-mode squeezed vacuum state S'2(r) |00〉 are investigated. It is found that, in different ranges of the squeezed parameter r, both modes of the state exhibit the antibunching effects and the two modes of the state are always nonclassical correlation.
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